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Finding the Fourth Proportional to 14,757.60, 22,147.20 and 9,825.60

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Solution

The fourth proportional to 14,757.60, 22,147.20 and 9,825.60 is: 14,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.60 : 22,147.20 = 9,825.60 : x
  2. Step 2: Convert to fraction form
    14,757.60/22,147.20 = 9,825.60/x
  3. Step 3: Cross multiply
    14,757.60x = 22,147.20 × 9,825.60
  4. Step 4: Simplify right side
    14,757.60x = 217,609,528.32
  5. Step 5: Solve for x
    x = 217,609,528.32/14,757.60
  6. Step 6: Final answer
    x = 14,745.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.